Finite Group Databasebeta

← Group #322110

Character table — Group #322110

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444488888888888822444444444488888888888888888824882224
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ3111111111111111111111111111111-1-111111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1
χ10111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-11
χ11111111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ12111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-111-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-11-1-11
χ172222222222-2-22-2-22-2-20000000022220022-2-222-2-200-2-2000000000000000000000000
χ182222222222-2-22-2-22-2-200000000222200-2-222-2-22200-2-2000000000000000000000000
χ192222222222-2-22-2-22-2-200000000-2-2-2-20022-2-2-2-2220022000000000000000000000000
χ202222222222-2-22-2-22-2-200000000-2-2-2-200-2-22222-2-20022000000000000000000000000
χ2122222222-2-222-222-2-2-22222-2-2-2-200002200000000-2-20000000000000000002-2000000
χ2222222222-2-222-222-2-2-22222-2-2-2-20000-2-20000000022000000000000000000-22000000
χ2322222222-2-222-222-2-2-2-2-2-2-2222200002200000000-2-2000000000000000000-22000000
χ2422222222-2-222-222-2-2-2-2-2-2-222220000-2-200000000220000000000000000002-2000000
χ2522-2-2-22-222-200-20020022−2−222−2−222-2-200002-2002-2000022−2−222−2−2000022−2−200000000
χ2622-2-2-22-222-200-20020022−2−222−2−222-2-20000-2200-220000−2−222−2−222000022−2−200000000
χ2722-2-2-22-222-200-20020022−2−222−2−2-2-22200002-200-22000022−2−2−2−2220000−2−22200000000
χ2822-2-2-22-222-200-20020022−2−222−2−2-2-2220000-22002-20000−2−22222−2−20000−2−22200000000
χ2922-2-2-22-222-200-200200−2−222−2−22222-2-200002-2002-20000−2−222−2−2220000−2−22200000000
χ3022-2-2-22-222-200-200200−2−222−2−22222-2-20000-2200-22000022−2−222−2−20000−2−22200000000
χ3122-2-2-22-222-200-200200−2−222−2−222-2-22200002-200-220000−2−22222−2−2000022−2−200000000
χ3222-2-2-22-222-200-200200−2−222−2−222-2-2220000-22002-2000022−2−2−2−222000022−2−200000000
χ332-22-2-2-222-2200-2002002−22−22−22−22-22-2002-2002-20000002−22−22−22−200002−22−200000000
χ342-22-2-2-222-2200-2002002−22−22−22−22-22-200-2200-22000000−22−22−22−2200002−22−200000000
χ352-22-2-2-222-2200-2002002−22−22−22−2-22-22002-200-220000002−22−2−22−220000−22−2200000000
χ362-22-2-2-222-2200-2002002−22−22−22−2-22-2200-22002-2000000−22−222−22−20000−22−2200000000
χ372-22-2-2-222-2200-200200−22−22−22−222-22-2002-2002-2000000−22−22−22−220000−22−2200000000
χ382-22-2-2-222-2200-200200−22−22−22−222-22-200-2200-220000002−22−22−22−20000−22−2200000000
χ392-22-2-2-222-2200-200200−22−22−22−22-22-22002-200-22000000−22−222−22−200002−22−200000000
χ402-22-2-2-222-2200-200200−22−22−22−22-22-2200-22002-20000002−22−2−22−2200002−22−200000000
χ412-2-222-2-222222-2-2-2-22-22-2-22-222-2000000000000000000000000002i2i−2i−2i0000002i−2i0000
χ422-2-222-2-222222-2-2-2-22-22-2-22-222-200000000000000000000000000−2i−2i2i2i000000−2i2i0000
χ432-2-222-2-222222-2-2-2-22-2-222-22-2-22000000000000000000000000002i2i−2i−2i000000−2i2i0000
χ442-2-222-2-222222-2-2-2-22-2-222-22-2-2200000000000000000000000000−2i−2i2i2i0000002i−2i0000
χ452-2-222-2-22-2-2222-2-22-222-2-222-2-222-2-220000000000002-20000000000002-2-2200000000
χ462-2-222-2-22-2-2222-2-22-222-2-222-2-22-222-2000000000000-22000000000000-222-200000000
χ472-2-222-2-22-2-2222-2-22-22-222-2-222-22-2-220000000000002-2000000000000-222-200000000
χ482-2-222-2-22-2-2222-2-22-22-222-2-222-2-222-2000000000000-220000000000002-2-2200000000
χ492-2-222-2-22-2-2-2-222222-2000000002-2-22000000000000-222-2-222-2-220000000000000000
χ502-2-222-2-22-2-2-2-222222-2000000002-2-22000000000000-22-222-2-222-20000000000000000
χ512-2-222-2-22-2-2-2-222222-200000000-222-20000000000002-22-2-22-222-20000000000000000
χ522-2-222-2-22-2-2-2-222222-200000000-222-20000000000002-2-222-22-2-220000000000000000
χ5344444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ544444-4-4-4-4004-404-400000000000000000000000004i−4i00000000000000000000000000
χ554444-4-4-4-4004-404-40000000000000000000000000−4i4i00000000000000000000000000
χ564444-4-4-4-400-440-4400000000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ574444-4-4-4-400-440-440000000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ5844-4-4-44-44-4400400-4002222−22−22−22−222222000000000000000000000000000000000000000000
χ5944-4-4-44-44-4400400-400−22−2222222222−22−22000000000000000000000000000000000000000000
χ604-44-4-4-4444-400400-40022−2222−22−2222−2222000000000000000000000000000000000000000000
χ614-44-4-4-4444-400400-400−2222−222222−2222−22000000000000000000000000000000000000000000
χ624-4-444-4-4444-4-4-444-4-4400000000000000000000000000000000000000000000000000
χ634-4-44-444-4004-40-440000000000000004-4000000000000000000000000000000000000
χ644-4-44-444-4004-40-44000000000000000-44000000000000000000000000000000000000
χ654-4-44-444-400-4404-4000000000000000000000000000000000000022−22−2222000000000000
χ664-4-44-444-400-4404-40000000000000000000000000000000000000−222222−22000000000000
χ6788-8-88-88-8000000000000000000000000000000000000000000000000000000000000
χ688-88-888-8-8000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).